Length of outer track = sum of length of 10 pieces = circumference of the outer circle

if R is the Radius of outer circle then...

Circumference of the outer track = 2pi*R

Similarly the circumference of the inner track (with radius r) = 2pi*r

length of each outer piece is 3.4 inch more than length of inner piece

So total outer length is 10*3.4 =34 inches more than the inner length.

=> Outer Circumference - Inner Circumference = 34 inches

=> 2pi*R - 2pi*r = 34

=> 2pi(R -r) = 34

=> R-r = 34/2pi = 5.41 inches

=> R-r = Width of the track = 5.41 inches

6 0

3 years ago

A jar has 20 marbles: 3 green, 12 blue, 5 red.

nadezda [96]

Probability is defined as the likelihood or the certainty that an event is going to occur or happen.

The probability of randomly choosing a red and then a green marble is $3/76$ .

The total number of marbles = 20

The number of green marbles= 3

The number of blue marbles = 12

The number of red marbles = 5

The probability of choosing a red marble = Number of red marbles / Total number of marbles

= 5/20

In simplest fraction form = $\frac{1}{4}$

We are told in the question that you keep the red marble you choose, So this means the total number of marbles left reduces to 19

The probability of choosing a green marble is = Number of green marbles / New total number of marbles

= 3/19

Therefore, the probability of randomly choosing a red and then a green marble is

P (Red) x P(Green)

= 1/4 x 3/19

= $3/76$

To learn more, visit the link below:

brainly.com/question/22563776

4 0

2 years ago

Two added to three times a number m is the same as 18

Mumz [18]

3*16/3+2=18

16+2=18 i found this on a website hope it helped!

https://www.algebra.com

is the link

8 0

3 years ago